Stochastic Computational Electromagnetics: Fundamental Aspects and Advanced Applications

计算电磁学的研究一直致力于模拟任意复杂但定义明确的结构。然而，几个前沿研究领域，特别是等离子体和纳米技术，采用越来越多地受到制造工艺可变性的影响的设备。此外，虽然电磁模拟器现在能够模拟大规模的无线传播问题，但它们仍然受到室内和城市环境固有的统计变化的限制。在一般情况下，强大的电磁仿真工具，有效地将统计不确定性的发展必然会产生深远的影响，技术进步的步伐方面的重大研究挑战，如低成本而高效的太阳能电池的设计，生物医学仪器的发展癌症检测和治疗，以及无线服务规划。

Research on computational electromagnetics has been dedicated to the simulation of arbitrarily complex yet well-defined structures. However, several cutting-edge research areas, notably plasmonics and nanotechnology, employ devices that are increasingly subject to fabrication process variability. Moreover, while electromagnetic simulators are now able to model large-scale wireless propagation problems, they are still limited by the inherent statistical variability of indoor and urban environments. In general, the development of powerful electromagnetic simulation tools that effectively incorporate statistical uncertainty is bound to have a far-reaching impact on the pace of technology advancement with respect to grand research challenges such as the design of low-cost yet efficient solar cells, the development of biomedical instrumentation for cancer detection and treatment, and wireless service planning.